{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import altair as alt\n",
    "import shap\n",
    "\n",
    "from marginal import MarginalExplainer\n",
    "import plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 3000\n",
    "d = 3\n",
    "hidden_layers = 100\n",
    "batch_size = 50\n",
    "learning_rate = 0.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.random.randn(n, d)\n",
    "y = X[:, 0] * X[:, 1] + X[:, 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = tf.keras.Sequential()\n",
    "model.add(tf.keras.Input(shape=(d,), batch_size=batch_size))\n",
    "model.add(tf.keras.layers.Dense(hidden_layers, activation=tf.keras.activations.relu, use_bias=True))\n",
    "model.add(tf.keras.layers.Dense(1, activation=None, use_bias=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = tf.keras.optimizers.SGD(learning_rate=learning_rate)\n",
    "model.compile(optimizer=optimizer,\n",
    "              loss=tf.keras.losses.MSE,\n",
    "              metrics=[tf.keras.metrics.MeanAbsoluteError(), tf.keras.metrics.MeanSquaredError()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 3000 samples\n",
      "Epoch 1/20\n",
      "3000/3000 - 0s - loss: 0.2939 - mean_absolute_error: 0.3378 - mean_squared_error: 0.2939\n",
      "Epoch 2/20\n",
      "3000/3000 - 0s - loss: 0.0967 - mean_absolute_error: 0.1967 - mean_squared_error: 0.0967\n",
      "Epoch 3/20\n",
      "3000/3000 - 0s - loss: 0.0495 - mean_absolute_error: 0.1355 - mean_squared_error: 0.0495\n",
      "Epoch 4/20\n",
      "3000/3000 - 0s - loss: 0.0332 - mean_absolute_error: 0.1093 - mean_squared_error: 0.0332\n",
      "Epoch 5/20\n",
      "3000/3000 - 0s - loss: 0.0245 - mean_absolute_error: 0.0933 - mean_squared_error: 0.0245\n",
      "Epoch 6/20\n",
      "3000/3000 - 0s - loss: 0.0191 - mean_absolute_error: 0.0804 - mean_squared_error: 0.0191\n",
      "Epoch 7/20\n",
      "3000/3000 - 0s - loss: 0.0136 - mean_absolute_error: 0.0677 - mean_squared_error: 0.0136\n",
      "Epoch 8/20\n",
      "3000/3000 - 0s - loss: 0.0217 - mean_absolute_error: 0.0818 - mean_squared_error: 0.0217\n",
      "Epoch 9/20\n",
      "3000/3000 - 0s - loss: 0.0092 - mean_absolute_error: 0.0559 - mean_squared_error: 0.0092\n",
      "Epoch 10/20\n",
      "3000/3000 - 0s - loss: 0.0105 - mean_absolute_error: 0.0608 - mean_squared_error: 0.0105\n",
      "Epoch 11/20\n",
      "3000/3000 - 0s - loss: 0.0058 - mean_absolute_error: 0.0446 - mean_squared_error: 0.0058\n",
      "Epoch 12/20\n",
      "3000/3000 - 0s - loss: 0.0060 - mean_absolute_error: 0.0469 - mean_squared_error: 0.0060\n",
      "Epoch 13/20\n",
      "3000/3000 - 0s - loss: 0.0046 - mean_absolute_error: 0.0414 - mean_squared_error: 0.0046\n",
      "Epoch 14/20\n",
      "3000/3000 - 0s - loss: 0.0074 - mean_absolute_error: 0.0410 - mean_squared_error: 0.0074\n",
      "Epoch 15/20\n",
      "3000/3000 - 0s - loss: 0.0041 - mean_absolute_error: 0.0369 - mean_squared_error: 0.0041\n",
      "Epoch 16/20\n",
      "3000/3000 - 0s - loss: 0.0061 - mean_absolute_error: 0.0423 - mean_squared_error: 0.0061\n",
      "Epoch 17/20\n",
      "3000/3000 - 0s - loss: 0.0039 - mean_absolute_error: 0.0383 - mean_squared_error: 0.0039\n",
      "Epoch 18/20\n",
      "3000/3000 - 0s - loss: 0.0039 - mean_absolute_error: 0.0360 - mean_squared_error: 0.0039\n",
      "Epoch 19/20\n",
      "3000/3000 - 0s - loss: 0.0030 - mean_absolute_error: 0.0302 - mean_squared_error: 0.0030\n",
      "Epoch 20/20\n",
      "3000/3000 - 0s - loss: 0.0041 - mean_absolute_error: 0.0334 - mean_squared_error: 0.0041\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<tensorflow.python.keras.callbacks.History at 0x7f1416e33c50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(X, y, epochs=20, verbose=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_shap_samples=100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/100 [00:00<?, ?it/s]WARNING: Logging before flag parsing goes to stderr.\n",
      "W1022 13:02:54.544668 139726224320320 base_layer.py:1814] Layer dense is casting an input tensor from dtype float64 to the layer's dtype of float32, which is new behavior in TensorFlow 2.  The layer has dtype float32 because it's dtype defaults to floatx.\n",
      "\n",
      "If you intended to run this layer in float32, you can safely ignore this warning. If in doubt, this warning is likely only an issue if you are porting a TensorFlow 1.X model to TensorFlow 2.\n",
      "\n",
      "To change all layers to have dtype float64 by default, call `tf.keras.backend.set_floatx('float64')`. To change just this layer, pass dtype='float64' to the layer constructor. If you are the author of this layer, you can disable autocasting by passing autocast=False to the base Layer constructor.\n",
      "\n",
      "100%|██████████| 100/100 [00:06<00:00, 15.73it/s]\n"
     ]
    }
   ],
   "source": [
    "primal_explainer = MarginalExplainer(model, X[num_shap_samples:], nsamples=800, representation='mobius')\n",
    "primal_effects = primal_explainer.explain(X[:num_shap_samples], verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:06<00:00, 16.22it/s]\n"
     ]
    }
   ],
   "source": [
    "dual_explainer = MarginalExplainer(model, X[num_shap_samples:], nsamples=800, representation='comobius')\n",
    "dual_effects = dual_explainer.explain(X[:num_shap_samples], verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:12<00:00,  8.42it/s]\n"
     ]
    }
   ],
   "source": [
    "average_explainer = MarginalExplainer(model, X[num_shap_samples:], nsamples=800, representation='average')\n",
    "average_effects = average_explainer.explain(X[:num_shap_samples], verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "83ac20e358254e1a949cae65d1e74bf1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model_func = lambda x: model(x).numpy()\n",
    "kernel_explainer = shap.SamplingExplainer(model_func, X)\n",
    "kernel_shap = kernel_explainer.shap_values(X[:num_shap_samples])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def unroll(x):\n",
    "    ret = []\n",
    "    for i in range(x.shape[-1]):\n",
    "        ret.append(x[:, i])\n",
    "    return np.concatenate(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_df = pd.DataFrame({\n",
    "    'Sampled Primal Effects':  unroll(primal_effects),\n",
    "    'Sampled Dual Effects':    unroll(dual_effects),\n",
    "    'Sampled Average Effects': unroll(average_effects),\n",
    "    'Kernel SHAP Values':      unroll(kernel_shap),\n",
    "    'Primal Interaction Effects':  unroll(kernel_shap - primal_effects),\n",
    "    'Dual Interaction Effects':    unroll(kernel_shap - dual_effects),\n",
    "    'Average Interaction Effects': unroll(kernel_shap - average_effects),\n",
    "    'Feature': [0] * num_shap_samples + [1] * num_shap_samples + [2] * num_shap_samples\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "config": {
        "mark": {
         "tooltip": null
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        "view": {
         "height": 300,
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       "datasets": {
        "data-64bfb52619488000f696e4e667c8350a": [
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",
      "text/plain": [
       "<VegaLite 3 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/troubleshooting.html\n"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alt.Chart(data_df).mark_point(filled=True).encode(\n",
    "    alt.X('Kernel SHAP Values:Q'),\n",
    "    alt.Y(alt.repeat(\"column\"), type='quantitative'),\n",
    "    alt.Color('Feature:N')\n",
    ").properties(width=300, height=300).repeat(column=['Sampled Primal Effects', 'Sampled Dual Effects', 'Sampled Average Effects'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v3+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v3.2.1.json",
       "config": {
        "mark": {
         "tooltip": null
        },
        "view": {
         "height": 300,
         "width": 400
        }
       },
       "datasets": {
        "data-64bfb52619488000f696e4e667c8350a": [
         {
          "Average Interaction Effects": 0.017375346140292736,
          "Dual Interaction Effects": 0.08890302801254137,
          "Feature": 0,
          "Kernel SHAP Values": -0.054566410540315066,
          "Primal Interaction Effects": -0.1385705307709898,
          "Sampled Average Effects": -0.0719417566806078,
          "Sampled Dual Effects": -0.14346943855285643,
          "Sampled Primal Effects": 0.08400412023067474
         },
         {
          "Average Interaction Effects": -0.00770065063964441,
          "Dual Interaction Effects": 0.04629093398917601,
          "Feature": 0,
          "Kernel SHAP Values": 0.07536454667914794,
          "Primal Interaction Effects": 0.027165526949056842,
          "Sampled Average Effects": 0.08306519731879235,
          "Sampled Dual Effects": 0.029073612689971925,
          "Sampled Primal Effects": 0.048199019730091094
         },
         {
          "Average Interaction Effects": 0.04826663060468439,
          "Dual Interaction Effects": -2.0748121502773764,
          "Feature": 0,
          "Kernel SHAP Values": 2.353764391563654,
          "Primal Interaction Effects": 2.2238994455559253,
          "Sampled Average Effects": 2.3054977609589695,
          "Sampled Dual Effects": 4.42857654184103,
          "Sampled Primal Effects": 0.12986494600772858
         },
         {
          "Average Interaction Effects": -0.040359643063643924,
          "Dual Interaction Effects": 0.24074322972526213,
          "Feature": 0,
          "Kernel SHAP Values": -0.28934575240979526,
          "Primal Interaction Effects": -0.3807422189034018,
          "Sampled Average Effects": -0.24898610934615134,
          "Sampled Dual Effects": -0.5300889821350574,
          "Sampled Primal Effects": 0.09139646649360657
         },
         {
          "Average Interaction Effects": 0.017508236639200384,
          "Dual Interaction Effects": 0.001867262892423803,
          "Feature": 0,
          "Kernel SHAP Values": 0.058737642340360816,
          "Primal Interaction Effects": -0.018692536927760905,
          "Sampled Average Effects": 0.04122940570116043,
          "Sampled Dual Effects": 0.05687037944793701,
          "Sampled Primal Effects": 0.07743017926812172
         },
         {
          "Average Interaction Effects": 0.009304266560888785,
          "Dual Interaction Effects": 0.17454905449233105,
          "Feature": 0,
          "Kernel SHAP Values": -0.10734778941788624,
          "Primal Interaction Effects": -0.17284122110524128,
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",
      "text/plain": [
       "<VegaLite 3 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/troubleshooting.html\n"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alt.Chart(data_df).mark_point(filled=True).encode(\n",
    "    alt.X('Primal Interaction Effects:Q'),\n",
    "    alt.Y(alt.repeat(\"column\"), type='quantitative'),\n",
    "    alt.Color('Feature:N')\n",
    ").properties(width=300, height=300).repeat(column=['Dual Interaction Effects', 'Average Interaction Effects'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.summary_plot(kernel_shap, X[:num_shap_samples], xlim=(-3, 3), plot_type='layered_violin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.summary_plot(primal_effects, X[:num_shap_samples], xlim=(-3, 3), plot_type='layered_violin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.summary_plot(kernel_shap - primal_effects, X[:num_shap_samples], xlim=(-3, 3), plot_type='layered_violin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.summary_plot(dual_effects, X[:num_shap_samples], xlim=(-3, 3), plot_type='layered_violin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.summary_plot(kernel_shap - dual_effects, X[:num_shap_samples], xlim=(-3, 3), plot_type='layered_violin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YIltSBL0N/QohdJjZT4E1QDnwgUK2Vw+EiOSt+frvUze9kTB2ImXjx1P51NNJhyRS1IKV5FySZJHDzeyHwAqiIY37gamF1KMeCBHJW/sffsPUYw6grWkmVSNqmfLHnyUdkkhRK9IeiDeBdcDPgXeGEF7emkqUQIhIXlY99Dh1O9WSmrQT6ytGk64vZdw+U8n09FBSqo8SkVySnu/Qjw+GEAbcfaghDBHJy9Lr/puancaxccKutHXV0mYNlOw8jcVXXJp0aCJFK1gq55JoTNsgeQAlECKShzd/dQ8NU2sonzyRjupJrN44kpbOUXRM2otRTfoYEelPMMu5DAX6zxeRzQohsOqW/2HkxDFkpuxGS2hgSUuKN9sqWF6+M2HPA1n5u7uSDlOkKBXjaZzbihIIEdmsRTfdQePMRsonTaJ17EyWr69lVWtgRSss7ahnYf1+lPcsTzpMkaKUKUnlXIaCLc58cs49ChwEdGcV/9x7f+ZAd+6cOwO40Hs/Y6B1beX+HXADsBewDPi69/72JGIRKUYblyxn3f23M+moA+nc3bGwZxILV5TS3Z0hnYZFq0pp39gIux/LhP+5hMazLkk6ZJGiUqy9DWb2XuBkoDGEcKyZOaA2hPDHfOvId+r0Zd77b2xNkIPNOWdAynvfU+B2o4jOe70GOAR4N/Ab59x87/1ftn2kIjuOEAIr7n6Y5iv/m5lfOp4N0/ZjQdkevLy4iuUru1m3rpsQAp2bylg7qpTVa8azx9vPYd+7byVVN53RhxySdBNEikKg+OY7mNlZRHfkvBk4KS7eCFwPHJxvPQM+98o5dxxwETCd6Cj+G977O+LXJsUBHkB0lavngHO998845w4CbgTKnXPr4uqOiX8+5L0vzdrHJcC7vPdHxM8DcC5wKrAnMBuY45z7FNGbMhl4Azjfe/+HfkI/AdgAXOW9D8CDzrnfEN3OVAmEDEtdLa28ce3NdC98nnGnvJdRN3yXp7ubeLG5nCVv9tC2ppWuTT30dKfJpDMsS6fJZDIQ4IkSo7RiNtU1FTS+uIo961fxzurF7HT0+5NulkhiirQH4lzg8BBCs5mdH5e9AuxWSCUDSiCcc+8FfggcB/wZcMADzrnF3vvHiOZY3AA8BATgCuDXzrkZ3vu/OOc+S58hDOfcYXnu/pNE1+9uBkrj5OF84ETgeeDIeF/7eu9z3TZwH+BvcfLQ61mipERkWJr/2OM8N/sTLG0rZfmCblY91cna9hY6N3bR09UVJw5pQiYQMhkymQwhE4j+vcHMsJIS5pWmeLq8jDtGTKTqwdeprq1gelOGCz43JdH2iWxvRZpA1ACL48e934FlQFchleSbQFzgnPtK1vMjvfdziI72v+O9fzwuf9o5dztwGvCY934RsKh3I+fchcDZwC7AS4UEmsM13vv58eO0c+4c4FLv/dy47D7n3CNEYzy5hl9qgPY+ZWuA2gHGJbLD2vUDRzLqdw+x+Me/YvzbRlNx9FG8Wb0bizeM54V5JSxb0cXGDd2kezJketKk0xlCCJhBqjRFVVUpjQ0pZo5p4+B1jzPxlFN1kSkZ1jLFea7CY8B/AN/MKjsbeKSQSvL9z/5mP3MgpgKznXNfyipLAY8DOOfGANcChwF1QCZeZ2whQfajOUcs33XOXZ9VVgos6Wf7DmBKn7I6YO02iE1kh5SqrGDCh49mwoePZv3rzTz3yXPY49R92XmfdzBp332Zu3wMzUsydHR0EwKMqi2jvr6U2pGw7+jFTJxzC/X/dhZlo2YAicyNFikqoTgTiLOAu83sU0CNmb1K9J14zOY3e6uBHhosBG713l/dz+uXE90u9O3e+2XOuRqiL+jeWSWZHNt0ACnnXIX3vjMum5Bjvb7bLiQ6i+LOPGOfSzT0km2/uFxk2Bu5yxQOvO+nPP+h45m2YT3TDuxiY+O76eyuAUooTcG4sSkaanvYu2oeVQ/+isYvX5x02CJFpUh7IFYAB8bLzkTDGU+HEHJ9J/droAnEt4FbnXNzgCeJeh9mAea990TDARuANudcNXBln+2XA43OuVrvfe+R/2tEN/k40zn3PaIZoScRzU/YnOuAS5xzrxMlAZVEkzdbvPev5Fj/N8BVzrnzgO8QnYlxAvDevFsvMsSVVo9k4rkX0HHfjdRVP8vkd+xM+5jdaG0rY0SlsfPYTiZXLqdhzm8ZreRB5F8UWwJhZimi79i6+JLWW31Z6wG1LD7D4VPA1UAL0VkY1wHV8SoXA43AaqIzMJ4E0llVPAI8CCxwzq1xzh3qve8APg58mWiOwjnAbXnEchNwFXAL0EY09+IiookhudZfQ3Tv8w/F+7kJ+KxO4RR5q8b3H0rL/A42LV1O/fIXaBrZzrix0DQmw8QRLUxc+QypfY5KOkyRopQJJTmXpIQQ0kQH6g0DrctCCFteSwaD3njZYbT95Vnab/kGDW+fxeqDT+KVTbtQmepmZs/fKH3iPkaffUXSIYoM1KBcsOGFectzftbvNaMpsQtEmNlXiU4w+A7RPMF/xDgYF5ISkWGs/qD9ab7SqF7yJjVrljCmbjyVJRsY2fwSbaUTGZ10gCJFKsnehs349/jnJX3KAzAt30qKsmUiUnxmfPNy2ptXUL70VWpLOxjV00rXgvlM+txZSYcmUrTSlORckhRCmNrPknfyAEogRCRPNXvuytqVadJLl1C7cQU1LfN48/nFW95QZBgLwXIuQ4GGMEQkb+NO/SQdT/6S0bu9BGtWs3gXx55JByVSxIpxCMPMFtPPPLwQwk751qMEQkTyNuHkE3j+jhsY3bKCzuUr6Z75nqRDEilqxZhAAB/r83w80RmPPy+kEiUQIlKQkgm7sGnhYloXrCzw1jsiw0+6CIcrQgh/6ltmZo8Cvyc6MyMvRZkaiUjxmvyFs2l9eSErNpYnHYpI0QtYzqUIdRLdEiJv6oEQkYLUztqD11d0s+bE2UmHIlL0inEIw8wu7VNURXRhxfsLqaf4WiYiRW+/++8jTGxKOgyRopcOlnNJ2OQ+SyXRjS9PL6QS9UCISMF0i26R/GQyiScLufxnCGF530IzayK6R1Ve1AMhIiIySDJYziVhr/VT/lIhlegwQkREZJAUaQ/EvwRlZrXAdr2dt4iIiPSjCOY7/EPWBaRGmNmiPi83AD8rpD4lECIiIoOkyHogPkbU+3AfcGpWeQBWhBBeLaQyJRAiIiKDpAjmO/xD7wWkzGxMCGHDQOtTAiEiBVt570NU3PgTut57WNKhiBS1IuuBACCEsMHM9gUOAcaQNScihHBxvvXoLAwRKUi6s4s3LruIsV3Lqf/Z7UmHI1LU0pncS5LM7NPAn4H3AOcDs4AvAzMKqUcJhIgUpPl/f0DT3uMZt9dEJuw9jpX3PZh0SCJFq0gvJPVV4MgQwvHAxvjnSUB3IZUogRCRgmx44veUj6ygctxoGmZNZ9Uv1Qsh0p8Qci8JawwhPB4/zphZSQjhfuDYQirRHAgRyVvPuvVU1ZVQ0VBLxaSJ2OixjF6+JumwRIpWugjnQABLzGxKCKGZ6KJSHzSzFqCrkEqUQIhI3hZ972aqx4+momkc1jQJKkZQs+9Mutd2UFZbk3R4IkUnk/B8h35cBewBNAOXAr8CyoGzC6lEQxgikrdO/wgjxo/FmiaSrmmgp7IGGzOOpTf9IOnQRIpSOmM5lySFEG6NhyyIf9YD9SGE7xVSj3ogRCQvG5cso356PakJE9kwaQ/WVY2jNN1JDcaI7meSDk+kKBXBfIeczKyB6Bbe40MIV5nZGDOrCyEsybcO9UCISF7euPgiRk6dxKYps2itmkyHjaIt1cja6iaqZu2ZdHgiRalIT+M8FHgV+ChwUVy8C1BQD4QSCBHZonXzFtDQ2EOYsSetNVNoz4xibddI2rurWcFEuht3YuXd9yYdpkjRKcYEAvg28OEQwpFAT1z2FPC2QipRAiEim5Xp7mbBeWdRtc9M2pr2ZFX3GFZvGEnL+hG0bqikrbOapdW7Y0t90qGKFJ10OveSsCkhhIfjx72DLF0UOK1hiys75x4FDuKtF5j4uff+zEJ21E/dZwAXeu8LuvrVtuCcGwH8GNgXmA5c7L3/xvaOQ6SYhUyGv598OtNm78G6WYexJD2ZZetG0r6+hHTGKLHAiIpy0pmxjHGz6VrTTnndqKTDFikaRToH4iUze38I4YGssiOA5wupJN9s47Ji/XJ1zhmQ8t73bHHltwrAk8ANwOXbPDCRHVx6UydzP3IGUw6bzPrZJ/FKz+4sbhtJ21pob++msysDGOXlJYyuKyU1aX9m3X4N479wSdKhixSNIhiuyOXLwD1mdi/Rrb2/T3QRqQ8WUsmAz8Jwzh1HNAljOrAM+Ib3/o74tUnAzcABROeYPgec671/xjl3EHAjUO6cWxdXd0z88yHvfWnWPi4B3uW9PyJ+HoBziW5HuicwG5jjnPsUcA4wGXgDON97/4dccXvvNwHXxfVtGuj7IDKUtD7hWXrtfzHpcx/Fj3o/S1bW0NIWaGvrpL29k00bu+nu6iGTzpBKlbCiuoLVrSNp3+c83n7l15j05UspKdVJXiKZTH9dEMmdyhlCmGNmexPd3vtHwGLgbYWcgQEDTCCcc+8FfggcR3RjDgc84Jxb7L1/jGiOxQ3AQ0RH/FcAv3bOzfDe/8U591n6DGE45w7Lc/efBI4nuhBGaZw8nA+cSNQNc2S8r3299/MG0k6R4eK13/2eZ9dNYFHPTqyafQsdT6fZtGkD3V1r6e5K09XZTXdnN+meNP8cOjXMjDeby3n9pUr+WH8udTd1MKo6UFfZQ0NpO6NZw84Nxox3uySbJ7LdFcF8h38ws6YQwnKAEMKbRBeU2mr5JhAXOOe+kvX8SO/9HKKj/e9473uvqf20c+524DTgMe/9ImBR70bOuQuJrnS1C/DSQAIHrvHez48fp51z5wCXeu/nxmX3OeceAU4GinL4RaTYvLh6JA++UU1ndwddXRl6ujNk0hnSmQyZnjTpngzpdLrPwG50JJVJpwk9PXRt7GTN6lJKS0soK4PS0jLKSsYwqa6T/3x3Mu0SSUq/HRDJeA2o7X1iZr8OIZywtZXlm0B8s585EFOB2c65L2WVpYDHAZxzY4BrgcOAOqB3NGjsVkX7Vs05Yvmuc+76rLJSoKAuGZHh7PhPHMKx6zew4NobGRGaaT3yM7y4aReWtxpt7Wna27vYsK6Ljes20dXZQ8hkKEmVUDGinLFNtUyfUs4RmfsZWzeW+kMOTro5IonLpItqCKPvTg8bSGUDHaRcCNzqvb+6n9cvB8YDb/feL3PO1QBr+Wcjck0v6QBSzrkK731nXDYhx3p9t10IfN17f2dBLRCRtygdWcUuF32J9QsW03rWmRx12tG07HkEL6yfzoo1I2ltG0H72pH09GQwM0pLSxhVm2KXyRnevexWxp7w6aSbIFI0imwS5TbtDxloAvFt4Fbn3ByiMxpSwCzAvPeeqKtkA9DmnKsGruyz/XKg0TlX671fG5e9BqwDznTOfQ84mOg+5c9uIZbrgEucc68Dc4FKosmbLd77V3Jt4JyrIEpmSojmUVQCae99QfdEFxmKRk6dzB6338mLHz2ZqR9ex/4HHsPrFdNYMWIEa+sq6OqO/nlGjgiMqU2zV9nLlM1Qr4NItnS/PRCJKDWz2fzzIL7vc0IIf8y3sgFdSCo+w+FTwNVAC9FZGNcB1fEqFwONwGqiMzCeBLKnlDwCPAgscM6tcc4d6r3vAD5OdJpJO9E8i9vyiOUmogkhtwBtRHMvLgLKNrPZq8BG4BDg6/Hjm7a0L5Hhoqyulpm33c6KB+Yw+vUnmVK5lIl1Gxk/Os2EMYEJYzOMq+th4sg11L/4CHV775V0yCJFJYTcS0JWEp118cN4Wd3n+c2FVGahSK9yMQzojZcdxsrfP4r99ReUHfEBljfsTWvPKLrSUW5emepiaueLdD01l8mf/XzCkYpstUGZlHDpHT05P+sv/mhpsrfk3AZ0KWsR2aLGIw9j5UstlL7+HPUbl1JX1sGoig3Ulm+gsWQFVS0LmfTpf086TJGik06HnMtQoARCRPIy4UsXsql5EdWLn6e+czk11kGdtVG/YSldL7+IlejjRKSvdCbkXIYCXSpORPL+yCIiAAAPv0lEQVRSf+A+vPbt5Ywft4jaikoqGyYCRllHCytXQUPSAYoUoTBEkoVclECISN4yE/Zk07KVVFVWUFFaCqXlhLYWmj71uaRDEylKQ2W4Ihf1OYpI3nb+4tmsW7qaruWroGUFbNrAhhdfpmqnSUmHJlKUMumQcxkK1AMhInkbMaGJ9as3UVm7GisrpXRNG6teXrVNLi0rMhSlM8V1JaltSQmEiBSkdPr+9Gx4lQ1LV5DpWUbN7GO2vJHIMNX/3Th3fBrCEJGCTPvqF1n10nLaF7aw7G+LmXj6KUmHJFK0hvIQhhIIESlI+dgGao84gWULNrHKHUpJqToyRfqTTmdyLkOB/vNFpGAzLvgiL+89I+kwRIqeTuMUERGRgg3l0ziVQIiIiAySoTJckYsSCBERkUGSUQIhIiIihdIcCBERESmYhjBERESkYEogREREpGCaAyEiIiIFC7oXhoiIiBRKQxgiIiJSsEyPEggREREpUDqdTjqEQaMEQkREZJDoOhAiIiJSMPVAiIiISMEySiBERESkUJpEKSIiIgXLBCUQIiIiUqBMz9AdwihJOgAREZGhKpNO51xyMbNmM9trO4e41dQDISIiMkjS6oEQERGRQoVMyLnky8wONLO/mNlz8c8D4/LLzey8+PG/mVnGzBrj5/eZ2fsGpUFZlECIiIgMkkKGMPoys3LgLuDCEMLewEXAXXH5w8Dh8aqHA3OA95hZGfB24Ilt3Za+NISRkIqKihe7uro2JR3H9lBaWjqmp6enJek4tpfh1N7h1FYYXu0dTm0FKC8vf6Gzs3Obzz94/HeH2AA23w3oCiE8DBBCeMjMuuLyPwO/iJOJdwJfAU4ClgIvhBA2DCzyLVMCkZBZs2Zt8t67pOPYHpxzfri0FYZXe4dTW2F4tXc4tRWi9iYdQyFCCBvN7DngFGAZ8AjwLWAJUe/EoNMQhoiISHF6FSg3s9kAZvYeoCwuhyhR+C/g4RBCJ1HycAbbKYFQD4SIiEjxeMjMerKeHw9cb2YjgfXASSGErvi1h4HL+GfC8DBwMPD09ghUCURyfpB0ANvRcGorDK/2Dqe2wvBq73BqKxRBe0MIU/p56aB+1v8LYFnPrwKu2vaR5WYhDN1bjYqIiMjg0BwIERERKZiGMBLknLsA+DCQJuqGutx7/4tkoxoczrnvEp2r3AmsA87x3u9Qs54L4Zz7GPBVYCZwrvf+fxMOaZtyzu0K3AY0AKuB07z3rycb1eBwzl0DnAhMAWZ5719INqLB5ZxrAH4CTAe6gNeBz3jvVyUa2CBxzv0WmApkiD6bzvLe/z3ZqHYM6oFI1v967/f23u8HfAC4yTlXn3RQg+R+og/ffYDLgSGZKGX5O3Ay8NOkAxkkNwLf9d7vCnwX+H7C8Qym3wLvBhYmHch2EoCrvPe7ee9nAfOBKxKOaTCd7r3fJ/4cvgb4UdIB7SiUQCTIe9+e9bSa6B93SP5OvPf3eO+746d/ASY554ZkWwG89y94718iOqoZUpxzjcD+wM/iop8B+zvnxiYX1eDx3j/hvV+cdBzbi/e+1Xv/aFbRHGDnhMIZdH0+h0cxBP9nB4uGMBLmnPsscC4wGfiE9351wiFtD18A7vXe6x91xzQZWOq9TwN479POuTfj8iHZzT1cxUn+vwP/l3Qsg8k5dzPwPqKh5CMTDmeHoQRiEDnnngV26uflcd77tPf+RuBG59ws4A7n3EM7YhKRT1vj9U4GPkLUJbzDyre9Iju4/yGaFzCk5vD05b0/E8A5dypwNdGQsmyBEohB5L3fv4B1n4+P4g4junnKDiWftjrnjge+CRzuvV8x+FENnkJ+t0PQYmCicy4V9z6kgAlxuQwR8eTRXYBjh0tvoff+J865HzjnGnbEA7ntbciOQe8InHMzsx5PBfYDXkouosHjnDsGuBZ4v/e+OeFwZAC89yuJJomeEhedAvxtqM7SH46cc/8NHAAc573vTDqeweKcq3bOTc56fizQGi+yBbqQVIKcc78E9gS6iU7lvGoIn8a5iuiUsOwvmcOHapbvnDuFqCu0nqjd64H3xRMrd3jOud2JTuOsB9qITuN8dfNb7Zicc9cDJwBNQAuw2nu/Z7JRDR7n3J7AC8BrwMa4eIH3/vjkohoczrlxwO+AkUSfwa3AV7z3zyYa2A5CCYSIiIgUTEMYIiIiUjAlECIiIlIwJRAiIiJSMCUQIiIiUjAlECIiIlIwJRAiBTCzKWYWzGzSIO/ns2b2k6zn95vZVwdzn5Kbmc0zszPyXHe7/H1sD2ZWEbd996RjkeKkBEIGhZlNM7M7zWy5ma0zs8Vm9hszK49fP8PM5uXYrr/yj8YfzF/P8dqjZtYZ76fdzP5mZicOTssGn5mNBC4FLuktCyEcFUK4KrGgtiD+3bwr6TiGg8F4r83sMDPryS4LIXQSXcvk6m25Lxk6lEDIYLkPWAbsBtQABwEPEN2sZmt8hugiL580s1SO1y8LIVQDDUR3h/yFme26lftK2seA50MI85MORIa9nwHvMbMZSQcixUcJhGxzZtZAlDjcGEJoD5ElIYQb46OaQuvbAzgEOB0YDxzV37ohhB7gBiAFzMpR1+fN7O99yqaaWdrMpsTPb4l7TDrM7CUz+8hmYrvEzB7qU/aomV2Y9XwvM3vAzFaZ2SIzu9zMyjbT5OOAB/urM6ub/PQ4vvVmdp+Z1ZvZFWa2Mu75+XzW9mfE3dHnm9myeJ1vZcexpXab2d5m9vu4Ha297TazufEqf4h7gW7u572qMrPvxPtoMbPfmtlOWa8/Gsd0VxzDfDP7YH9vUlabvmhmS+JtrjGzhriOtWb2SvbRupmVmtnFZvaGmbWZ2cNmtlfW62Vmdm3We3h+jv0eYmZPxO/BfDP7spnlnRib2YlmNjfuLZtrZsdnvfYvPXBmdmvve9rfe21mzXG7nojLvZkdmKuOrLJmM/uYmU0A7gdS8bbrzOx0gBDCWuCvwP/Lt30yfCiBkG0uhLAaeBG42cxOM7OZhXzA5vBp4LkQwj1EPRuf6W9Fi4ZIPk90efC5OVb5KbC7me2bVXYG8GgIoTl+/gSwL1BHNJRwq5nNZCuYWSPwJ+DXwESinpj3Av+5mc32J797opwIvIvorqBTgKeA+UQ3tvo48O3sL2hg53jdaXEcxwLnZb3eb7vNbHzcjj/F+2oCrgAIIewTb/++EEJ1COHMfuK9DnhHvOxMdFnou+2tPUqnA98CRhHdAfI2M6vazHuwcxzvtPi9OIvoy7D3MuK/Bm7JWv884DSiuy02AY8DD5pZbfz6fwDHAAcDU+O27ty7cfx+3BfXPxY4muj29KduJsZ/MLODgTvi/TQAXwN+ZmZvz2f7LbzXnwXOAUYDvwLuy2rX5up8kygpT8d1VocQbsta5Xmiv0mRt1ACIYPlMOBR4FyiGy+tMLOL+iQSU81sTfZC1HvwD2ZWSfSB3/sl8EPgKPvXSWoXxNsvAT4InBhC+Je5FCGENqJr3388rt+IvrR+lLXOD0MIq0MI6RDCz4Hn4vZsjdOAuSGE74cQukIIS4HL4/L+1ANr86j7shBCa5yw3QN0hxBuCiH0hBDuJ7pHxX5Z62eA80IIG+PhkauIkidgi+0+FZgXQrg8hLA+bstbel42x8xKiN7nC0MIS0MI64n+NvYA3pa16i9CCE+GEDLAD4gSiV02U/VG4L/ieOYSJY1/DSHMCSGkgduBGWY2Kl7/48CVIYRX4t6wS4nugXB0/Ppp8evzQggbga8A2df7/xxwZwjhd/H79ApRorO532e2M4C7Qgj3x7+ne4HfAJ/Ic/vN+WEI4ZkQQhdwJdF7c8w2qHctUVIi8hZKIGRQhBBaQghfCyHsT3SE+FXgYuIv7tiCEEJd9kL0AZ3tQ0A10RcBREd/q4C+R7nfjOtoDCEcHEK4ezPh3QJ8JO6+f08c368h+qIzs0vN7NW4i3kNsA/R0ebWmAq8s0+S9COio9/+tAFbPHIkmmPSa0Of571lNVnPV4YQNmQ9bwYmQV7tnkJ0c6WtNRaoABb0FoQQ1gErgclZ6y3Len19/DC7DX2tjJONXn3fh9729tYxuU8MGaL3oTeGSfHz7BhWZtU3FTilz+/z60RDa/l4y/5j83nre7C1mnsfhOgmR4uIf78DVIvuTik5KIGQQRdC2BBCuJXoiHbfLaze16eJ5jO8YGbLiXoY6ul/MmU+HgQ6ibrwzwB+Hh9tQnRr6jOJhgfq46RmLv1P/uwgupNftglZjxcCD/VJlEbFEz778zdgq4ZMtqCxz3DAFKL3E7bc7mY23xOwpbvyrSJ6z6f0FphZNdAILM4r+m1jcZ8YSuLnvTEs7fP6SN6aPC4EftTn91kbQsj37pxv2X9sWtb+t/T3BP2/19lxG9FwVe/v9y31mlkp0XvfKzsJ62svor9JkbdQAiHbnEWT+S63aPJgWTxx7USiD6LHC6hnJtG49vFEiUfv8jaiI/gPbE18cdf2j4GziW7T/KOsl2uBHqIvvBIz+wTRkXh/ngH2N7MD4nZ+gegotdePAWdmnzCzyvhIf5qZHbmZOn8LHFF4y7aoBLjSzEaY2TSi7vnese4ttft2YDeLJmFWmVm5mWXHuJzNJBjxkf6PgcvMbEKcyHwLeAV4ehu1Lx+3Al81s13j+TIXAKXAvfHrPwHOM7PpZjaCaJgn+3PyBuBkMzs26297ppkdmuf+bwNONLP3m1nKzI4i+hvsHaL7O1Gid0z8t3I88O4+dfT3Xn/CzPaPe9bOA6qy2vUMcLhFE4YrgG8C2RN5lxNNosz+28XMaoj+3/4vz/bJMKIEQgZDF9HRza+Juj5XARcCZ4cQ7iygns8Az4YQ7g4hLM9angPuZDOTKfNwC3Ao0TBK9hfYbUSTEecRHY3OZDNJTwjhUeBa4PdEXefjgD9nvb4cmE10ZkUz0fDEb4iOOvvzE2Cf+Et+W1pIdES6gKiNvyf6goQttDueaHcY0QTQJURfONkTMC8ALrXozIbv97P/LwKeaFb/IqJu//8XJ3Tby9VEpyb+AVhBNIT1vvhsA4jmpzwAzCF6nxYRvW8AhBBeIJpXcC7R73slUVKS1xBXCOHPRHNBriH6W7gK+FgIYU78+nyiiZA/IPrfORK4q081/b3XPwCuj+v9MHB0CKE9fu0OoiTgWaIhk0VEv+feuF4Dvgc8HQ/N9E4KPQV4JITwej7tk+HFoqEyESkmZvZZ4J0hhLxm9+dR3xlEExh1Pv8QZGbNRL/f27e0bgF1VgAvECV5L2+remXoKE06ABH5VyGEG4Ebk45Dhq/4LJXNzXuRYU5DGCIiIlIwDWGIiIhIwdQDISIiIgVTAiEiIiIFUwIhIiIiBVMCISIiIgVTAiEiIiIFUwIhIiIiBfv/j+3YfP4RaOAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x194.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.summary_plot(kernel_shap - average_effects, X[:num_shap_samples], xlim=(-3, 3), plot_type='layered_violin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.dependence_plot(0, kernel_shap, X[:num_shap_samples])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
